Home / 206,612-314,040

Finding the Third Proportional to 206,612 and 314,040

Calculator

Solution

The third proportional to 206,612 and 314,040 is: 477,325.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,612 : 314,040 = 314,040 : x
  2. Step 2: Convert to fraction form
    206,612/314,040 = 314,040/x
  3. Step 3: Cross multiply
    206,612x = 314,040 × 314,040
  4. Step 4: Simplify right side
    206,612x = 98,621,121,600
  5. Step 5: Solve for x
    x = 98,621,121,600/206,612
  6. Step 6: Final answer
    x = 477,325.24

Related Problems

Find third proportional to 103,306 and 157,020
Half scale
Find third proportional to 413,224 and 628,080
Double scale
Find third proportional to 206,614 and 314,043
Similar ratio
Find third proportional to 309,918 and 471,060
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.